Help me with this please!!!!!!

The given statement " if a body is in equilibrium , it must satisfy all three laws of equilibrium." is true because for a body to be in equilibrium, it must satisfy all three laws of equilibrium, which include the first law (sum of forces in any direction is zero), the second law (sum of moments about any point is zero), and the third law (no net torque or rotation).

When a body is in equilibrium, it means that it is not experiencing any acceleration and is at a state of rest or constant velocity. In order for a body to be in equilibrium, it must satisfy all three laws of equilibrium: the first law (translational equilibrium), the second law (rotational equilibrium), and the third law (force equilibrium).

Translational Equilibrium (First Law): The first law of equilibrium states that the sum of the forces acting on the body in any given direction must be zero.

Rotational Equilibrium (Second Law): The second law of equilibrium deals with rotational equilibrium. It states that the sum of the moments (torques) acting on the body about any point must be zero.

Force Equilibrium (Third Law): The third law of equilibrium, often referred to as the law of action and reaction, states that for every action, there is an equal and opposite reaction. In the context of equilibrium, it means that the forces acting on the body should be balanced, so that every force has an equal and opposite force that cancels it out.

When these conditions are met, the body is said to be in a state of equilibrium.

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Answer:

x ≤ 17

Step-by-step explanation:

Pick up fee = 2.80

Cost per mile = 1.25

Total cost = $24.05

Number of miles ride, x

Pickup fee + mile per ride * number of ride ≤ total cost

2.80 + 1.25x ≤ 24.05

1.25x ≤ 24.05 - 2.80

1.25x ≤ 21.25

x ≤ 17

Number one of miles ride x ≤ 17

Answer:

The answer is 5.1 from my calculator but the price should be about 14.62

Step-by-step explanation:

I put it into a calculator

The correct answer would be an option (D) Associative Property of Addition.

The associative property of addition is a rule which states that when adding three or more numbers, we can arrange them in any configuration, and the resultant sum is unaffected by how they are arranged.

(a + b) + c = a + (b + c)

Given Line 1 and Line 2 are shown below.

Line 1 as :

⇒ (3 + 9) + 5

Line 2 as :

⇒ 3 + (9 + 5)

According to Associative Property of Addition,

Line 1 as :

(3 + 9) +5 equals 12 + 5 which equals 17

Line 2 as :

3 + (9 + 5) equals 3 + 14 which equals 17

The correct answer would be an option (D) Associative Property of Addition.

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Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.

The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.

Congruence :

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.

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Step-by-step explanation:

option D is correct..

can we become friends???

Answer:

0.00006824883

Step-by-step explanation:

right?

Answer:

y = - 3. Since y varies directly as x then. y = kx ← ( k is the constant of variation ). to find k use y = - 1 when x = 3. k = = = -. hence y = - x.

Step-by-step explanation:

Hope this helped! :)

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The positive coterminal angle for 10 degrees is 370 degrees, and the negative coterminal angle is -350 degrees.

To find a positive and a negative coterminal angle for the given angle of 10 degrees, we need to add or subtract multiples of 360 degrees until we obtain angles that have the same initial and terminal positions as 10 degrees on the unit circle.

Positive coterminal angle:

By adding 360 degrees to 10 degrees:

10° + 360° = 370°

Negative coterminal angle:

By subtracting 360 degrees from 10 degrees:

10° - 360° = -350°

Therefore, a positive coterminal angle for 10 degrees is 370 degrees, and a negative coterminal angle is -350 degrees.

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Answer:

x 23 y 60

Step-by-step explanation:

The equation of line passing through the points (1,1), (2,2), (3,3), and (4,4) is y=x.

The points (1, 1), (2, 2), (3, 3), and (4, 4) all lie on the same line, which means that we can find the equation of the line using any two of these points.

Let's use the first and last points, (1, 1) and (4, 4), respectively. We can find the slope of the line using the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) = (1, 1) and (x2, y2) = (4, 4)

slope = (4 - 1) / (4 - 1) = 1

Now that we know the slope of the line, we can use the point-slope form of the equation of a line to find the equation:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is one of the points on the line. Let's use the point (1, 1):

y - 1 = 1(x - 1)

y - 1 = x - 1

y = x

So the equation of the line passing through the points is y = x.

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The type of sampling that was used is a cluster.

furthered explained below

A cluster in a data set occurs when several of the data points have a commonality. The size of the data points has no affect on the cluster just the fact that many points are gathered in one location.

Clusters can be found by examining a graph or dot plot for data points grouped in a certain location. Clusters can also be found by analyzing a data set for a value that most of the data points are near.

In the given question above, each American Airlines flight is a group. 100 of them are chosen randomly, and in each group chosen, every passenger is surveyed. Hence cluster sampling was used.

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The unconditional expectation of y (E(y)) equals β0 + (β1 * E(x)), derived using the Law of Iterated Expectations.

To simplify the expression for the unconditional expectation E(y), we can apply the properties of expected value and the Law of Iterated Expectations. The Law of Iterated Expectations states that the unconditional expectation of a conditional expectation is equal to the unconditional expectation itself.

Starting with the expression for E(y):

E(y) = E(β0 + β1x + u)

We can break down this expression using the linearity of expectation:

E(y) = E(β0) + E(β1x) + E(u)

Since β0 and β1 are constants, their expected values are equal to themselves:

E(y) = β0 + β1E(x) + E(u)

Now, since u is the error term and it is assumed to have a mean of zero (E(u) = 0), the expression simplifies to:

E(y) = β0 + β1E(x)

Therefore, we can conclude that the unconditional expectation of y (E(y)) is equal to the constant term β0 plus the product of the slope coefficient β1 and the unconditional expectation of x (E(x)). This result follows from the Law of Iterated Expectations, which allows us to simplify the expression by considering the expected values of the individual terms separately.

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Answer:

a relation and a function

= A

Step-by-step explanation:

Thus, the right choice is A.

WeDeliver: The total cost of sending the parcel with WeDeliver is £64.00.

Total cost is the sum of all costs associated with a particular purchase, project, or investment. It includes the cost of materials, labor, and any other expenses incurred such as taxes, fees, and shipping. Total cost is an important factor in determining whether or not a project or purchase is feasible. When evaluating the total cost, one must consider any associated risks, such as the risk of a market downturn or currency fluctuations.

This is calculated by summing the three dimensions of the cuboid (10 cm + 20 cm + 40 cm) and then multiplying this sum by £0.80.

GoParcels: The total cost of sending the parcel with GoParcels is £48.00. This is calculated by multiplying the total area, in cm, of all 6 faces of the cuboid (10 cm x 20 cm x 2 + 10 cm x 40 cm x 2 + 20 cm x 40 cm x 2) by £0.02.

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Answer:

3+1/6a

Step-by-step explanation:

3/2-1/2a+2/3a+3/2

3/2+3/2-1/2a+2/3a

6/2-1/2a+2/3a

3-1/2a+2/3a

3-3/6a+4/6a

3+1/6a

the simplified value of the given expression is 3 + 1/6a.

One strategy to promote uniformity in work efforts, costs, and time is to simplify procedures. It lessens diversity and variation that is damaging, unnecessary, or meaningless. PEMDAS stands for parenthesis, exponents, multiplication, division, addition, and subtraction. Given two or more operations in a single statement, the order of the letters in PEMDAS tells you what to compute first, second, third, and so on, until the computation is complete.

Given, an algebraic expression 3/2-1/2a+2/3a+3/2

Simplification of the expression:

=>  3/2-1/2a+2/3a+3/2

compare the values with the same variables

=> 3/2 +3/2 +2/3a -1/2a

=> 3 + a(2/3 -1/2)

=> 3 + a1/6

therefore, the simplified value of the given expression is 3 + 1/6a.

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The rule each sister wrote should be matched with the diagram that represent the rule as follows;

Ella  ⇒ p = 2t + 2.

Della ⇒ p = 2(t + 1)

Stella ⇒ p = 2(t - 1) + 4

In Mathematics and Geometry, a linear function refers to a type of function whose equation is graphically represented by a straight line on the cartesian coordinate (graph).

Assuming the variable t represent the number of smaller tables pushed together and the variable p represent the number of people that can be seated, a linear function (rule) that models the thinking of each sister can be written as follows;

Ella  ⇒ p = 2t + 2.

When t = 1, the value of p is given by;

p = 2(1) + 2 = 4.

When t = 2, the value of p is given by;

p = 2(2) + 2 = 6.

When t = 3, the value of p is given by;

p = 2(3) + 2 = 8.

For Della, we have:

p = 2(t + 1)

When t = 1, the value of p is given by;

p = 2(1 + 1) = 4.

When t = 2, the value of p is given by;

p = 2(2 + 1) = 6.

When t = 3, the value of p is given by;

p = 2(3 + 1) = 8.

For Stella, we have:

p = 2(t - 1) + 4

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Answer:

I'm sorry that no one is helping you, the correct answers are A and F.

Step-by-step explanation:

The line's equation is \(y=\frac{1}{4} +3\). You know this because the slope of the line is found by subtracting the y-value of the two points and dividing it by the difference of the x-values, which would be \(\frac{6-4}{12-4} = \frac{2}{8} = \frac{1}{4}\). Using the slope, you can calculate the y-intercept of the equation, which you just multiply the slope by the distance to the y-axis and subtract that from the y-value of (4, 4), which you will get \(4 + (-4*\frac{1}{4}) = 4+(-1) = 3\). So the equation of the line is \(y=\frac{1}{4} +3\). When you simplify all the choices below, you'll get that only A and F are equivalent to the equation, so those are the correct choices.

Answer:

0,666667

Step-by-step explanation:

the cats will act fast and one will steal from both of them and getting half of both meals

Answer:

x = 0

Step-by-step explanation:

y = x + 4 and y = 2x + 4

Let's solve

x + 4 = 2x + 4

-x  + 4 = 4

-x = 0

x = 0

So, there is only one solution is x = 0

Answer:

x=9.3

Step-by-step explanation:

use SohCahToa

in this case u use cos

cos(41°)=7/x

x=7/cos(41)

x=9.275090953

x=9.3

Let x be Amanda's age. Then Brett's age is x + 5. Paul's age is 3(x + 5), and Janine's age is 3(x + 5) - 6. The sum of all their ages is 125 years. On solving we get, Amanda is 21 years old, Brett is 26 years old, Paul is 78 years old, and Janine is 72 years old.

We can use algebra to solve the problem. Let x be Amanda's age. Then Brett's age is x + 5. Paul's age is 3(x + 5), and Janine's age is 3(x + 5) - 6, as given in the problem.

The sum of all their ages is 125 years. Using this information, we can set up the following equation:

x + (x + 5) + 3(x + 5) + (3(x + 5) - 6) = 125

Simplifying and solving for x, we get:

8x + 22 = 125

8x = 103

x = 12.875

Since x represents Amanda's age, which must be a whole number, we can conclude that there is an error in the problem statement.

Assuming that Amanda's age is actually a whole number, we can solve for all their ages. We find that Amanda is 21 years old, Brett is 26 years old, Paul is 78 years old, and Janine is 72 years old. We can check that the sum of their ages is indeed 125 years:

21 + 26 + 78 + 72 = 125

Therefore, Amanda is 21 years old, Brett is 26 years old, Paul is 78 years old, and Janine is 72 years old.

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An area of mathematics that studies how competing parties interact is known as "game theory."

Game theory analyzes strategic decision-making in situations where multiple participants, known as players, make choices that affect each other's outcomes. It examines the interactions, strategies, and outcomes of these competitive or cooperative situations.

Game theory provides mathematical models and frameworks to analyze various scenarios, such as conflicts, negotiations, auctions, voting systems, and economic markets. It studies the behavior of rational players, their objectives, and the choices they make to maximize their own outcomes, considering the actions and reactions of other players.

The field of game theory explores concepts such as strategies, payoffs, Nash equilibrium, dominant strategies, and cooperative or non-cooperative games. It aims to predict and understand the behavior and outcomes of competitive situations and provides insights into decision-making, resource allocation, and the dynamics of interactions between individuals, organizations, or even nations.

Overall, game theory serves as a valuable tool in various disciplines, including economics, political science, psychology, and computer science, to analyze and model situations where competing parties interact.

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Answer:

Step-by-step explanation:

Circumference formula: C = 2πr

Compare with given value and determine the radius:

Find the area of the cross-section.

Area formula: A = πr²

Area: A = 9²*π = 81π m²

Find radius

So.area

Answer:

8 10/3

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Answer:

sfsfsfsfsfsfsfsfsfsfsfssfsfsfasfsfsfsfsfsf

Step-by-step explanation:

The diameter of a bicycle wheel is 24 inches. Around the wheel, there are 32 spokes that are spaced 48 meters away from one another.

The diameter of a circle is the distance measured through its center. The radius of a circle is the distance from the center to any point on the edge. Diameter divided by radius equals two, or 2r=d. 2 r = d . The simplest place to start would be to use a ruler to measure the distance between the circle's outside edges starting from its very center. The diameter would be that.

The diameter of the circle is the measurement at issue. The distance between the circle's center and its periphery can be measured.

far apart is each spoke (distance) = radius = diameter / 2

distance = 24/2

distance = 12

Since a wheel has 4 parts. so, 12*4 =  48 m

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The labor cost percentage for next Friday at Fawlty Towers would be approximately 0.63%, which is closest to the option a. 0.05%.

To calculate the labor cost percentage for next Friday at the Fawlty Towers, we need to consider the number of rooms, the time required to clean each room, the number of working hours, the labor rate, and the occupancy rate. Here are the steps to determine the labor cost percentage:

Calculate the number of rooms to be cleaned. If the hotel has 1000 rooms and the occupancy rate for next Friday is 80%, then the number of occupied rooms would be 1000 * 0.8 = 800 rooms.

Calculate the total time required to clean the rooms. Since each room attendant is allocated 30 minutes per room, the total time required would be 800 rooms * 30 minutes = 24,000 minutes.

Convert the total cleaning time to hours. Since there are 60 minutes in an hour, the total cleaning time would be 24,000 minutes / 60 = 400 hours.

Calculate the total labor cost. Each room attendant works 8 hours per day, so for 400 hours, the hotel would require 400 hours / 8 hours = 50 room attendants. Considering their hourly rate of $15, the total labor cost would be 50 room attendants * $15/hour = $750.

Calculate the total revenue. The Average Daily Rate (ADR) is expected to be $150, and with an occupancy rate of 80%, the total revenue would be 800 rooms * $150/room = $120,000.

Calculate the labor cost percentage. Divide the total labor cost ($750) by the total revenue ($120,000) and multiply by 100 to get the percentage: ($750 / $120,000) * 100 = 0.625%.

Therefore, the labor cost percentage for next Friday at Fawlty Towers would be approximately 0.63%, which is closest to the option 0.05%.

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The Fawlty Towers is a Nuxury 1000 room hotel catering to business executives. The occupancy for nad Friday is expected to be 80% Room attendants are allocated 30 minutes to clean each room Room attendants work 8 hours per day at a rate of $15/hour. ADR is expected to be $150 What would the labour cost percentage be for next Friday assuming everything stays the same?

a. 0.05%

b. 5.00%

c. 20.00%

d. 0.20%